Solving an Absolute Value Equation Using Two Cases

The video tutorial explains how to solve equations involving absolute values. It begins by isolating the absolute value symbol and then creating two cases: one where the quantity inside is positive and another where it is negative. The tutorial demonstrates solving these equations and verifying the solutions to ensure they are correct.

What is the first step in solving an equation with an absolute value?

• Create two cases

• Multiply by negative

• Isolate the absolute value symbol

• Isolate the variable

When creating two cases for an absolute value equation, what should you consider?

• The absolute value can be ignored

• The equation can be divided by any number

• The quantity inside can be positive or negative

• The variable can be zero

What operation is performed to create the second case in an absolute value equation?

• Subtract a constant

• Negate the other side

• Multiply by a positive number

• Add a constant

After solving the two cases, what should you do to ensure the solutions are correct?

• Ignore them

• Add them together

• Multiply them by a constant

• Check if they satisfy the original equation

What is the absolute value of -24?

• 24

• 0

• -24

• 48